EBK PHYSICS
5th Edition
ISBN: 9780134051796
Author: Walker
Publisher: YUZU
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Question
Chapter 28, Problem 62PCE
To determine
The minimum separation between the two lines for the diffraction pattern.
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5 - büt5. Figure below shows the first four
peaks of the x-ray diffraction pattern for a
typical solid solution, with FCC crystal
structure, average atomic weight of
102g/mol and density of 2.84 g/cm3;
monochromatic x-radiation having a
wavelength of 0.1542 nm was used.
(a) For the first peak, determine the
approximate atomic radius of atoms in
the crystalline structure.
(b) Determine the interplanar spacing for
each of the peaks.
7000
(111)
6000
5000
(200)
4000
3000
2000
(311)
(220)
1000
20
30
40
50
60
70 80
20 (degree)
Intensity (CPS)
First-order Bragg scattering from a certain crystal occurs at an angle of incidence of
63.8°; see figure below. The wavelength of the x-rays is 0.261nm. Assuming that the
scattering is from the dashed planes shown, find the unit cell size ao.
63.8°
X rays
C1
Chapter 28 Solutions
EBK PHYSICS
Ch. 28.1 - Two beams of light that have the same phase are...Ch. 28.2 - If the wavelength in a two-slit experiment is...Ch. 28.3 - For each of the cases shown in Figure 28-22, state...Ch. 28.4 - If the wavelength of light passing through a...Ch. 28.5 - If you view the world with blue light, is your...Ch. 28.6 - Suppose a diffraction grating has slits separated...Ch. 28 - Prob. 1CQCh. 28 - What happens to the two-slit interference pattern...Ch. 28 - If a radio station broadcasts its signal through...Ch. 28 - How would you expect the interference pattern of a...
Ch. 28 - Describe the changes that would be observed in the...Ch. 28 - Two identical sheets of glass are coated with...Ch. 28 - A cats eye has a pupil that is elongated in the...Ch. 28 - Prob. 8CQCh. 28 - Prob. 9CQCh. 28 - Two sources emit waves that are coherent, in...Ch. 28 - In an experiment to demonstrate interference, you...Ch. 28 - A theme park creates a new kind of water wave pool...Ch. 28 - Two sources emit waves that are in phase with each...Ch. 28 - A person driving at 17 m/s crosses the line...Ch. 28 - Two students in a dorm room listen to a pure tone...Ch. 28 - If the loudspeakers in Problem 6 are 180 out of...Ch. 28 - A microphone is located on the line connecting two...Ch. 28 - A microphone is located on the line connecting two...Ch. 28 - Predict/Calculate Radio waves of frequency 1.427...Ch. 28 - Moe, Larry, and Curly stand in a line with a...Ch. 28 - Predict/Calculate In Figure 28-43 the two speakers...Ch. 28 - Consider a two-slit interference pattern, with...Ch. 28 - (a) Does the path-length difference l increase or...Ch. 28 - Predict/Explain A two-slit experiment with red...Ch. 28 - Laser light with a wavelength = 690 nm...Ch. 28 - Monochromatic light passes through two slits...Ch. 28 - In Youngs two-slit experiment, the first dark...Ch. 28 - Predic/Calculate A two-slit experiment with slits...Ch. 28 - A two-slit pattern is viewed on a screen 1.00 m...Ch. 28 - Light from a He-Ne laser ( = 632.8 nm) strikes a...Ch. 28 - For a science fair demonstration you would like to...Ch. 28 - Light with a wavelength of 576 nm passes through...Ch. 28 - Predict/Calculate Suppose the inference pattern...Ch. 28 - A physics instructor wants to produce a...Ch. 28 - Predict/Calculate When green light ( = 505 nm)...Ch. 28 - Predict/Calculate The interference pattern shown...Ch. 28 - Figure 28-46 shows four different cases where...Ch. 28 - The oil film floating on water in the accompanying...Ch. 28 - A soap bubble with walls 418 nm thick floats in...Ch. 28 - A soap film (n = 1.33) is 825 nm thick. White...Ch. 28 - White light is incident on a soap film (n = 1.30)...Ch. 28 - A 742-nm-thick soap film (nfilm = 1.33) rests on a...Ch. 28 - An oil film (n = 1.46) floats on a water puddle....Ch. 28 - A radio broadcast antenna is 36.00 km from your...Ch. 28 - Predict/Calculate Newton s Rings Monochromatic...Ch. 28 - Light is incident from above on two plates of...Ch. 28 - Submarine Saver A naval engineer is testing an...Ch. 28 - Predict/Calculate A thin layer of magnesium...Ch. 28 - A single-slit diffraction pattern is formed on a...Ch. 28 - White light is incident normally on a thin soap...Ch. 28 - Two glass plates are separated by fine wires with...Ch. 28 - A single-slit diffraction pattern is formed on a...Ch. 28 - What width single slit will produce first-order...Ch. 28 - Diffraction also occurs with sound waves Consider...Ch. 28 - Green light ( = 546 nm) strikes a single slit at...Ch. 28 - Light with a wavelength of 696 nm passes through a...Ch. 28 - Predict/Calculate A single slit is illuminated...Ch. 28 - How many dark fringes will be produced on either...Ch. 28 - Predict/Calculate The diffraction pattern shown in...Ch. 28 - A screen is placed 1.50 m behind a single slit....Ch. 28 - Predict/Explain (a) In principle, do your eyes...Ch. 28 - Two point sources of light are separated by 5.5...Ch. 28 - A spy camera is said to be able to read the...Ch. 28 - Splitting Binary Stars As seen from Earth, the red...Ch. 28 - Very Large Telescope Interferometer A series of...Ch. 28 - Find the minimum aperture diameter of a camera...Ch. 28 - The Resolution of Hubble The Hubble Space...Ch. 28 - A lens that is optically perfect is still limited...Ch. 28 - Early cameras were little more than a box with a...Ch. 28 - A grating has 797 lines per centimeter Find the...Ch. 28 - Prob. 62PCECh. 28 - A diffraction groting has 2500 lines/cm What is...Ch. 28 - The yellow light from a helium discharge tube has...Ch. 28 - A diffraction grating with 365 lines/mm is 1 25 m...Ch. 28 - Protein Structure X-rays with a wavelenglh of 0...Ch. 28 - White light strikes a grating with 7600...Ch. 28 - White light strikes a diffraction grating...Ch. 28 - CD Reflection The rows of bumps on a CD form lines...Ch. 28 - A light source emits two district wavelengths [1 =...Ch. 28 - A laser emits two wavelengths ( = 420 nm; 2 = 630...Ch. 28 - Predict/Calculate When blue light with a...Ch. 28 - Monochromatic light strikes a diffracton grating...Ch. 28 - A diffraction grating with a slit separation d is...Ch. 28 - CE Predict/Explain (a) If a thin liquid film...Ch. 28 - CE If the index of refraction of an eye could be...Ch. 28 - When reading the printout from a laser printer,...Ch. 28 - The headlights of a pickup truck are 1 36 m apart...Ch. 28 - Antireflection Coating A glass lens (nglass = 1...Ch. 28 - A thin film of oil (n = 1.30) floats on water (n =...Ch. 28 - The yellow light of sodium, with wavelengths of...Ch. 28 - Predict/Calculate A thin soap film (n = 1.33)...Ch. 28 - Predict/Calculate A thin film of oil (n = 1.40)...Ch. 28 - PredictfCalculate Sodium light, with a wavelength...Ch. 28 - BIO The Largest Eye The colossal squid...Ch. 28 - Product/Calculate Figure 28-49 shows a single-slit...Ch. 28 - BIO Entoptic Halos Images produced by structures...Ch. 28 - White light is incident on a soap film (n = 1.33,...Ch. 28 - Predict/Calculate A system like that shown in...Ch. 28 - A curved piece of glass with a radius of curvature...Ch. 28 - BIO The Resolution of the Eye The resolution of...Ch. 28 - Resolving Lines on an HDTV The American Television...Ch. 28 - Resolving Lines on an HDTV The American Television...Ch. 28 - Resolving Lines on an HDTV The American Television...Ch. 28 - Resolving Lines on an HDTV The American Television...Ch. 28 - Predict/Calculate Referring to Example 28-3...Ch. 28 - Predict/Calculate Referring to Example 28-3 The...Ch. 28 - Predict/Calculate Referring to Example 28-11 The...Ch. 28 - Predictf/Calculate Referring to Example 28-11 The...
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- As a single crystal is rotated in an x-ray spectrometer (Fig. 3.22a), many parallel planes of atoms besides AA and BB produce strong diffracted beams. Two such planes are shown in Figure P3.38. (a) Determine geometrically the interplanar spacings d1 and d2 in terms of d0. (b) Find the angles (with respect to the surface plane AA) of the n = 1, 2, and 3 intensity maxima from planes with spacing d1. Let = 0.626 and d0 = 4.00 . Note that a given crystal structure (for example, cubic) has interplanar spacings with characteristic ratios, which produce characteristic diffraction patterns. In this way, measurement of the angular position of diffracted x-rays may be used to infer the crystal structure. Figure P3.38 Atomic planes in a cubic lattice.arrow_forwardAn X-ray scattering experiment is performed on a crystal whose atoms form planes separated by 0.440 nm. Using an X-ray source of wavelength 0.548 nm, what is the angle (with respect to the planes in question) at which the experimenter needs to illuminate the crystal in order to observe a first-order maximum?arrow_forwardOn a certain crystal, a first-order X-ray diffraction maximum is observed at an angle of 27.1° relative to its surface, using an X-ray source of unknown wavelength. Additionally, when illuminated with a different, this time of known wavelength 0.137 nm, a second-order maximum is detected at 37.3°. Determine (a) the spacing between the reflecting planes, and (b) the unknown wavelength.arrow_forward
- X-rays of wavelength 0.103 nm reflects off a crystal and a second-order maximum is recorded at a Bragg angle of 25.5°. What is the spacing between the scattering planes in this crystal?arrow_forwardThe first-order Bragg angle for a certain crystal is 12.1°. What is the second-order angle?arrow_forwardCheck Your Understanding If the line spacing of a diffraction grating d is not precisely known, we can use a light source with a well-determined wavelength to measure it. Suppose the first-order constructive fringe of the H emission line of hydrogen (=656.3nm) is measured at 11.36° using a spectrometer with a diffraction grating. What is the line spacing of this grating?arrow_forward
- Two slits each of width 1800 nm and separated by the center-to-center distance of 1200 nm are illuminated by plane waves from a krypton ion laser-emitting at wavelength 461.9 nm. Find the number of interference peaks in the central diffraction peak.arrow_forwardThe distance between atoms in a molecule is about 10-8 cm . Can visible light be used to “see” molecules?arrow_forwardCrystal lattices can be examined with x rays but not UV. Why?arrow_forward
- A laser with 589 nm wavelength and a beam diameter of 2 mm is fed through a beam-expander,then aimed from the G.O. Jones building to the Canary Wharf tower at a distance of 2.75 km.What expansion factor is required for the beam-expander in order that the diffraction-limited spotat Canary Wharf tower has a diameter of 30 cm (defined as the diameter of the first dark ring) ?arrow_forwardA crystal sample of bacteriorhodopsin, a light-sensitive protein found in halobacteria that responds to light energy, has crystal planes separated by 0.20 nm. If a beam of 12keV x rays illuminates a sample, what angles will give diffraction maxima of the first, second and third order? Express your answers in degrees separated by commas in ascending order.arrow_forwardX-rays of wavelength equal to 0.134 nm give a first order diffraction from the surface of a crystal when the value of 0(theta) is 10.5°. Calculate the distance between the planes in the crystal parallel to the surface examined. Should correct with full explanation. (Gpt/Ai wrong answer not allowed)arrow_forward
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